Kousalya S.

Yes. Theoretically possible. But the impact it will have on the internal organs of the passengers and the car itself will be far more than the acident it would have caused by a not so instat stop. imagine at 80 KMph when an instant stop occurs, all seat belts will snap. needs new design, the car itself will roll over and cause more damage

The forces acting on the cycle and cyclists are weight of the cycle and cyclist together = mg vertically downwards

and the reaction by the ground on the cycle tyre at an angle θ to the vertical. Resolve this reaction R in Vertical component - Rcosθ and Horizontal component Rsinθ. Equating the vertical forces Rcosθ = mg and the horizontal force is nothing but the centripetal force Rsinθ = mv²/r; 

Divide second equation by first Rsinθ/Rcosθ = v2/rg; tanθ = v²/rg or θ = tan^-1(v²/rg)

Please remember we have ignored the frictional force between the tyre and the ground here